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Representations of SU(2,1) in Fourier Term Modules Paperback / softback
by Roelof W. Bruggeman, Roberto J. Miatello
Part of the Lecture Notes in Mathematics series
Paperback / softback
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Description
This book studies the modules arising in Fourier expansions of automorphic forms, namely Fourier term modules on SU(2,1), the smallest rank one Lie group with a non-abelian unipotent subgroup.
It considers the “abelian” Fourier term modules connected to characters of the maximal unipotent subgroups of SU(2,1), and also the “non-abelian” modules, described via theta functions.
A complete description of the submodule structure of all Fourier term modules is given, with a discussion of the consequences for Fourier expansions of automorphic forms, automorphic forms with exponential growth included. These results can be applied to prove a completeness result for Poincaré series in spaces of square integrable automorphic forms. Aimed at researchers and graduate students interested in automorphic forms, harmonic analysis on Lie groups, and number-theoretic topics related to Poincaré series, the book will also serve as a basic reference on spectral expansion with Fourier-Jacobi coefficients.
Only a background in Lie groups and their representations is assumed.
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Out of StockMore expected soonContact us for further information
- Format:Paperback / softback
- Pages:210 pages, 51 Illustrations, color; 15 Illustrations, black and white; XI, 210 p. 66 illus., 51 illu
- Publisher:Springer International Publishing AG
- Publication Date:07/11/2023
- Category:
- ISBN:9783031431913
Other Formats
- EPUB from £42.49
Information
-
Out of StockMore expected soonContact us for further information
- Format:Paperback / softback
- Pages:210 pages, 51 Illustrations, color; 15 Illustrations, black and white; XI, 210 p. 66 illus., 51 illu
- Publisher:Springer International Publishing AG
- Publication Date:07/11/2023
- Category:
- ISBN:9783031431913